54 citations · 174 across the 23 of their papers we have counts for
5 papers · 1 filter
New curvature flows in complex geometry
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
This is a survey of some of the recent developments on the geometric and analytic aspects of the Anomaly flow. It is a flow of -forms on a -fold which was originally moti…
A flow of conformally balanced metrics with Kähler fixed points
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
While the Anomaly flow was originally motivated by string theory, its zero slope case is potentially of considerable interest in non-Kahler geometry, as it is a flow of conformally…
Regularity of Degenerate Hessian Equation
Slawomir Dinew, Szymon Plis, Xiangwen Zhang
We show a second order a priori estimate for solutions to the complex -Hessian equation on a compact Kähler manifold provided the --st root of the right hand side is $\m…
A rigidity theorem for surfaces in Schwarzschild manifold
Po-Ning Chen, Xiangwen Zhang
In this article, we prove a rigidity theorem for isometric embeddings into the Schwarzschild manifold, by using the variational formula of quasi-local mass.
Fu-Yau Hessian Equations
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
We solve the Fu-Yau equation for arbitrary dimension and arbitrary slope . Actually we obtain at the same time a solution of the open case , an improved solution of the k…